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Simplifying 3(x + 7) = 5(2x + -4) Reorder the terms: 3(7 + x) = 5(2x + -4) (7 * 3 + x * 3) = 5(2x + -4) (21 + 3x) = 5(2x + -4) Reorder the terms: 21 + 3x = 5(-4 + 2x) 21 + 3x = (-4 * 5 + 2x * 5) 21 + 3x = (-20 + 10x) Solving 21 + 3x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 3x + -10x = -20 + 10x + -10x Combine like terms: 3x + -10x = -7x 21 + -7x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -7x = -20 + 0 21 + -7x = -20 Add '-21' to each side of the equation. 21 + -21 + -7x = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -20 + -21 -7x = -20 + -21 Combine like terms: -20 + -21 = -41 -7x = -41 Divide each side by '-7'. x = 5.857142857 Simplifying x = 5.857142857
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